ok i checked my work, and i believe these are my new and improved answers ...

part a:

x = 0.834
x = -0.343
x = -3.491

part b:

remains the same, except now one of the fixed points are convergent.

How's this look guys?

Here is part c now:

Zoom in on a convergent point until the graph of f looks like a straight line (this phenomenon is known as "local linerity.") Find the coordinates of two points on f - one to the left and one to the right of the convergent point. Then find the slope (rise over run) of the segment connecting these two points.

I would also like to check my slope with someone, so if you find it, please let me know.